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Finding the Fourth Proportional to 11,818.70, 16,309.91 and 6,513.53

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Solution

The fourth proportional to 11,818.70, 16,309.91 and 6,513.53 is: 8,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.70 : 16,309.91 = 6,513.53 : x
  2. Step 2: Convert to fraction form
    11,818.70/16,309.91 = 6,513.53/x
  3. Step 3: Cross multiply
    11,818.70x = 16,309.91 × 6,513.53
  4. Step 4: Simplify right side
    11,818.70x = 106,235,055.51
  5. Step 5: Solve for x
    x = 106,235,055.51/11,818.70
  6. Step 6: Final answer
    x = 8,988.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.